What's the conversion factor used to convert inches to yards

Answers

Answer 1

Answer: 12in/1foot and 3feet/yard

or 12in = 1foot
3feet= 2Yard

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Find the GCF of the given polynomial. 8x^6y^5 - 3x^8y^3

Which of the following statements contains a quotient? A. 7 + 6 = 13 B. 7 × 6 = 42 C. 42 ÷ 6 = 7 D. 7 – 6 = 1

Answers

Mathematically, quotient means the solution you get when solving a division problem.

The only reliable choice is C)

Choice A) is called "the sum or total"
Choice B) is called "the product."
Choice D) is called the "the difference"

The quotient is the answer to a division problem. Therefore, C is the correct answer.

Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Simplify the following expression.(45x + 64y) - (3x - 16y)
A.42x - 80y
B.42x - 48y
C.42x + 80y
D.42x + 48y

Answers

(45x + 64y) - (3x - 16y)

First, simplify to remove brackets. / Your problem should look like: $45x + 64y - 3x + 16y$
Second, gather like terms. / Your problem should look like: $(45x - 3x) + (64y + 16y)$
Third, simplify. / Your problem should look like: $42x + 80y$

Answer: C) 42x + 80y

$(45x + 64y) - (3x - 16y)$
$45x + 64y -3x +16y$
$42x+64y+16y$
$42x+80y$
The answer is: $C. 42x+80y$

Find the inter-quartile range of the given data set. 3, 16, 18, 25, 26, 29, 31, 50 13 15 47

Answers

I did this in my lesson and the answer you are looking for is 13! Hope this helped you or anyone else. :)

The answer to your question is 13.

An online bank statement reads as follows: Account balance: $986.24

Car payment: $203.34
Gas bill: $96.67
Check deposit: $1289.60
Cash deposit: $45
Debit card transaction: $67.12
ATM withdrawal: $30

Find the current account balance to date.

A. $1,923.71
B. $937.47
C. $1,726.52
D. $1,555.33

Answers

Answer:

Option A. $1,923.71would be correct

Step-by-step explanation:

Account balance : $986.24

Total deductions = Car payment + Gas bill + Debit card transaction + ATM withdrawal

Total deductions = 203.34 + 96.67 + 67.12 + 30 = $397.13

Now subtract the total of payments and withdrawals from initial balance

986.24 - 397.13 = $589.11

Now add all the check and cash deposits

Total deposits = Check deposit + Cash deposit

Total deposits = 1289.60 + 45.00 = $1334.60

$589.11 + 1334.60 = $1923.71

Current account balance to date would be $1923.71.

Final answer:

The current balance of the account is $1923.71. This is calculated by adding the deposits to the initial balance and then subtracting the various expenses and withdrawals.

Explanation:

To find the current bank account balance, we start with the initial balance and add any deposits. After that, we subtract all the expenses and withdrawals. In this case, the initial balance is $986.24. We add the check deposit of $1289.60 and the cash deposit of $45, and get $2320.84. Then we subtract the car payment of $203.34, the gas bill of $96.67, the debit card transaction of $67.12, and the ATM withdrawal of $30. The resulting balance, $1923.71, is the final balance to date.

Learn more about Bank Account Balance Calculation here:

brainly.com/question/34350506

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the following table shows the revenue for a company generates based on the increases in the price of the product. What is the y-value of the Vertex of the parabola that models the date?

Answers

Answer:

The y-value of the Vertex of the parabola that models the data is 1125.

Step-by-step explanation:

Let the function of parabola is

$f(x)=ax^2+bx+c$

From the given that it is noticed that the parabolic function passing through the points (1,1045), (3,1105) and (5,1125). It means the function must be satisfied by these points.

$1045=a(1)^2+b(1)+c$

$1045=a+b+c$ ....(1)

$1105=a(3)^2+b(3)+c$

$1105=9a+3b+c$ ....(2)

$1125=a(5)^2+b(5)+c$

$1125=25a+5b+c$ ....(3)

On solving (1), (2) and (3) we get,

$a=-5$

$b=50$

$c=1000$

Therefore the equation of parabola is

$f(x)=-5x^2+50x+1000$

The vertex of the parabola is

$((-b)/(2a),f((-b)/(2a)))$

$(-b)/(2a)=-(50)/(2(-5))=5$

$f(5)=1125$

Therefore the vertex is (5,1125) and y-value of the Vertex of the parabola that models the data is 1125.

The vertexes of the parabola are, (5, 1125).

Explanation

The table given to us in the problem are the data points that will lie on the parabola, therefore,

Point 1 = (1, 1045)

Point 2 = (3, 1105)

Point 3 = (5, 1125)

Point 4 = (3, 1105)

Point 5 = (1, 1045)

Equation of a Parabola,

We know that the equation of a parabola is given as,

$y = ax^2 +bx+c$

For point 1,

Point 1 = (1, 1045)

Substituting the value in the equation of a parabola,

$1045 = a(1)^2 +(1)b+c\n\n1045 = a+b+c$ ..... equation 1,

For point 2,

Point 2 = (3, 1105)

Substituting the value in the equation of a parabola,

$1105 = a(3)^2 +(3)b+c\n\n1105= 9a+3b+c$ ..... equation 2,

For point 3,

Point 3 = (5, 1125)

Substituting the value in the equation of a parabola,

$1125= a(5)^2 +(5)b+c\n\n1125= 25a+5b+c$ ..... equation 3,

Solving the three equations we get,

a = -5,

b = 50,

c = 1000

Substitute the values in the equation of a parabola,

$y=f(x) = -5x^2 +50x +1000$

How to find Vertexes of a parabola?

To find the vertex of a parabolic equation we bring the equation into the form,

$y = a(x-h)+k\n$ , where h and k are the vertexes of the parabola.

Vertexes of the parabola

Vertex of the Parabola,

$y=f(x) = -5x^2 +50x +1000\n\ny = -5x^2 +50x +1000\n\ny =-5(x^2 -10x)+1000\n\ny =-5(x^2 -10x+25-25)+1000\n\ny =-5(x^2 -10x+25)+ (-5* -25)+1000\n\ny =-5(x^2 -10x +25)+125+1000\n\ny =-5(x^2 -5)^2+1125$

Comparing it to the equation, $y = a(x-h)+k\n$ ,

the vertexes of the parabola are,

(5, 1125)

Learn more about the Equation of a Parabola:

brainly.com/question/4443998

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